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Finding the Third Proportional to 169,388.44 and 368,301.38

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Solution

The third proportional to 169,388.44 and 368,301.38 is: 800,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,388.44 : 368,301.38 = 368,301.38 : x
  2. Step 2: Convert to fraction form
    169,388.44/368,301.38 = 368,301.38/x
  3. Step 3: Cross multiply
    169,388.44x = 368,301.38 × 368,301.38
  4. Step 4: Simplify right side
    169,388.44x = 135,645,902,826.89
  5. Step 5: Solve for x
    x = 135,645,902,826.89/169,388.44
  6. Step 6: Final answer
    x = 800,797.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.